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Finding the Third Proportional to 14,212 and 21,512

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Solution

The third proportional to 14,212 and 21,512 is: 32,561.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,212 : 21,512 = 21,512 : x
  2. Step 2: Convert to fraction form
    14,212/21,512 = 21,512/x
  3. Step 3: Cross multiply
    14,212x = 21,512 × 21,512
  4. Step 4: Simplify right side
    14,212x = 462,766,144
  5. Step 5: Solve for x
    x = 462,766,144/14,212
  6. Step 6: Final answer
    x = 32,561.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.